Add the Perplexity desktop app to Install > AI

Follows the T3 Code / Grok Bot flow: the Install > AI entry runs
omarchy-install-and-launch, so picking it installs the perplexity
package on demand and launches the app when the install finishes.
Remove > AI drops the package along with the app's own config, flags
file, and rpc-server runtime cache, keeping the perplexity-* caches
that belong to Perplexity's other products. Like the Hermes remover,
it sets -u so an unset HOME is a refusal rather than rm -rf paths
rooted at /.

The menu mark is a new U+E90B glyph in the Omarchy icon font, so it
reaches desktops through the next omarchy-settings release.

Co-Authored-By: Fable 5 <noreply@anthropic.com>
Co-Authored-By: Codex XHigh <noreply@openai.com>

bin/omarchy-remove-ai-perplexity

@@ -0,0 +1,21 @@
+#!/bin/bash
+
+# omarchy:summary=Remove the Perplexity desktop app along with its configuration and caches.
+# omarchy:requires-sudo=true
+
+# -u so an unset HOME is an error rather than a set of rm -rf paths rooted at /.
+set -euo pipefail
+
+omarchy-pkg-drop perplexity
+
+# Of the perplexity-* dirs under ~/.cache, only the rpc-server runtime is the
+# desktop app's own download; the rest belong to Perplexity products that
+# outlive the desktop app.
+rm -rf \
+  "$HOME/.config/Perplexity" \
+  "$HOME/.cache/Perplexity" \
+  "$HOME/.cache/perplexity-rpc-server"
+rm -f "$HOME/.config/perplexity-flags.conf"
+
+echo ""
+echo "Perplexity has been removed."